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homewk1 - IEOR 4106 Introduction to Operations Research...

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IEOR 4106: Introduction to Operations Research: Stochastic Models Spring 2009, Professor Whitt Homework Assignment 1: Tuesday, January 20, 2009 Due on Tuesday, January 27 before class (4:10pm); to be discussed at the recitation on Sunday, January 25, 4:00-6:00pm, in 303 Mudd. Probability Review : Read Chapters 1 and 2 in the textbook, Introduction to Probabil- ity Models , ninth edition, by Sheldon Ross. Please do the six problems below marked with an asterisk and turn them in next Tuesday. These problems are written out in case you do not yet have the textbook (available in the Columbia Bookstore). Extra problems are provided in case you need extra review. Solutions will be provided for all the following problems. CHAPTER 1 *Problem 1.3. A coin is to be tossed until a head appears twice in a row. What is the sample space for this experiment? If the coin is fair, what is the probability that it will be tossed exactly four times? *Problem 1.21 Suppose that 5% of men and 0 . 25% of women are color-blind. A color-blind person is chosen at random. What is the probability of this person being male? (Assume that there are
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